He signed with the Montreal Maroons in 1932 and played a season with their farm team the Windsor Bulldogs in 1932-33. The next season he made the Maroons and won the Rookie of the Year award. Blinco stayed with them for four years (1934-38). He won the Stanley Cup in 1934-35.

The Maroons were losing money and they were forced to sell Blinco to the Chicago Blackhawks for cash in 1938. He played one season for them before retiring in 1939.

Blinco played in 268 NHL games and scored 59 goals and 66 assists. He was an extremely clean player, with only 24 penalty minutes in his entire NHL career.